Multiplicity-free products and restrictions of Weyl characters
Multiplicity-free products and restrictions of Weyl characters
复制标题
Weyl 特征的无重数乘积和限制
DOI：
10.1090/s1088-4165-03-00150-x
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发表时间：
2003
期刊：
影响因子：
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通讯作者：
J. Stembridge
中科院分区：
文献类型：
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作者：
J. Stembridge
我们对Weyl特征标的所有无重积，或者等价地，复半单李代数的不可约表示的所有无重张量积进行了分类。作为推论，我们还得到了不可约表示对抛物型约化子代数的所有无重性限制的分类。
We classify all multiplicity-free products of Weyl characters, or equivalently, all multiplicity-free tensor products of irreducible representations of complex semisimple Lie algebras. As a corollary, we also obtain the classification of all multiplicity-free restrictions of irreducible representations to reductive subalgebras of parabolic type.